Can multiple backup jobs point to the same TIB file?

I'm curious if I can have multiple jobs backup to the tib file, just to organize things easier.

Say I have 5 servers in a group called "critical". Could each of these servers backup to a tib file called critical.tib?

Job 1: 08 PM - Server1 backup to Critical.tib, CBT on, Simple file cleanup, M,T,W,T,F,Sa
Job 2: 10 PM - Server2 backup to Critical.tib, CBT on, Simple file cleanup, M,T,W,T,F,Sa
Job 3: 12 AM - Server3 backup to Critical.tib, CBT on, Simple file cleanup, M,T,W,T,F,Sa
Job 4: 02 AM - Server4 backup to Critical.tib, CBT on, Simple file cleanup, M,T,W,T,F,Sa
Job 5: 04 AM - Server5 backup to Critical.tib, CBT on, Simple file cleanup, M,T,W,T,F,Sa

That way when you look for restore points and point to Critical.tib you would see all 5 servers contained in there, and under each server you would see each day's restore point.

Thanks for the info!